Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
Copyright policy )Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact Kähler manifolds.
Mathematics - Differential Geometry, Global differential geometry of Hermitian and Kählerian manifolds, Differential invariants (local theory), geometric objects, 53C56, Calabi-Yau manifold, Differential Geometry (math.DG), QA1-939, parabolic geometry, FOS: Mathematics, Calabi-Yau theory (complex-analytic aspects), \(G\)-structures, Mathematics
Mathematics - Differential Geometry, Global differential geometry of Hermitian and Kählerian manifolds, Differential invariants (local theory), geometric objects, 53C56, Calabi-Yau manifold, Differential Geometry (math.DG), QA1-939, parabolic geometry, FOS: Mathematics, Calabi-Yau theory (complex-analytic aspects), \(G\)-structures, Mathematics
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